JIANG Quan, WEI Hai-e, ZHOU Zhi-dong. Research on Reissner Plate With an Inclusion or Flaw[J]. Applied Mathematics and Mechanics, 2013, 34(11): 1197-1208. doi: 10.3879/j.issn.1000-0887.2013.11.009
Citation: JIANG Quan, WEI Hai-e, ZHOU Zhi-dong. Research on Reissner Plate With an Inclusion or Flaw[J]. Applied Mathematics and Mechanics, 2013, 34(11): 1197-1208. doi: 10.3879/j.issn.1000-0887.2013.11.009

Research on Reissner Plate With an Inclusion or Flaw

doi: 10.3879/j.issn.1000-0887.2013.11.009
Funds:  The National Natural Science Foundation of China(10902055;11172252)
  • Received Date: 2013-04-25
  • Rev Recd Date: 2013-06-27
  • Publish Date: 2013-11-15
  • The bending problems for the Reissner plate with arbitrarily shaped inclusion or flaw were solved with the conformal transformation method and Faber series expanding. The analytical functions were expanded with Faber series, and the wave functions were expressed by n-order first-kind and second-kind modified Bessel functions in/out the unit circle in the transform domain. The linear equations were obtained under the continuous displacement, shear force and bending moment conditions along the interface of the unit circle. The numerical examples and the theoretical analysis were presented for the Reissner plate with an elliptic inclusion or flaw under cylindrical bending. It is concluded that, the inner torques in the plate are sensitive to the ratio a/h for the soft inclusion, and are insensitive for the stiff one.
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